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https://github.com/idris-lang/Idris2.git
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c9b20911e1
I'm playing with some linear structures and finding these useful a lot, so good to have a consistent syntax for it. '#' is chosen because it's short, looks a bit like a cross if you look at it from the right angle (!) and so as not to clash with '@@' in preorder reasoning syntax.
65 lines
1.7 KiB
Idris
65 lines
1.7 KiB
Idris
> data Usage = Once | Many
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> data Use : Usage -> (Type -> Type) -> Type -> Type where
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> Pure : (1 x : a) -> Use t m a
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> BindOnce : (1 act : Use Once m a) -> (1 k : (1 x : a) -> Use t m b) -> Use t m b
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> BindMany : (1 act : Use Many m a) -> (1 k : (x : a) -> Use t m b) -> Use t m b
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> contType : (Type -> Type) -> Usage -> Usage -> Type -> Type -> Type
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> contType m Once q a b = ((1 x : a) -> Use q m b)
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> contType m Many q a b = ((x : a) -> Use q m b)
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> (>>=) : {p : _} -> (1 f : Use p m a) -> (1 k : contType m p q a b) -> Use q m b
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> (>>=) {p = Once} = BindOnce
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> (>>=) {p = Many} = BindMany
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> pure : (1 x : a) -> Use t m a
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> pure = Pure
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> One : (Type -> Type) -> Type -> Type
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> One = Use Once
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> Any : (Type -> Type) -> Type -> Type
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> Any = Use Many
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> data DoorState = Closed | Open
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> data Door : DoorState -> Type where
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> MkDoor : (isOpen : Bool) -> Door (if isOpen then Open else Closed)
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> newDoor : One m (Door Closed)
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> newDoor = pure (MkDoor False)
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> knock : (1 d : Door Closed) -> One m (Door Closed)
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> openDoor : (1 d : Door Closed) ->
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> One m (Res Bool (\r => Door (if r then Open else Closed)))
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> closeDoor : (1 d : Door Open) -> One m (Door Closed)
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> deleteDoor : (1 d : Door Closed) -> Any m ()
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> doorProg : Any m ()
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> doorProg
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> = do d <- newDoor
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> r <- openDoor d
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> let x = 42
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> case r of
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> what => ?now
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> doorProg2 : Any m ()
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> doorProg2
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> = do d <- newDoor
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> r <- openDoor d
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> let x = 42
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> case r of
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> (res # d) => ?now_1
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> doorProg3 : Any m ()
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> doorProg3
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> = do d <- newDoor
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> r <- openDoor d
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> let x = 42
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> case r of
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> (True # d) => ?now_2
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> (False # d) => ?now_3
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